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Finding the Third Proportional to 183,730 and 260,050

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Solution

The third proportional to 183,730 and 260,050 is: 368,072.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,730 : 260,050 = 260,050 : x
  2. Step 2: Convert to fraction form
    183,730/260,050 = 260,050/x
  3. Step 3: Cross multiply
    183,730x = 260,050 × 260,050
  4. Step 4: Simplify right side
    183,730x = 67,626,002,500
  5. Step 5: Solve for x
    x = 67,626,002,500/183,730
  6. Step 6: Final answer
    x = 368,072.73

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.